229302144 has 128 divisors (see below), whose sum is σ = 692947200. Its totient is φ = 74608128.

The previous prime is 229302121. The next prime is 229302149. The reversal of 229302144 is 441203922.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229302149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147837 + ... + 149379.

It is an arithmetic number, because the mean of its divisors is an integer number (5413650).

Almost surely, 2^229302144 is an apocalyptic number.

229302144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346473600).

229302144 is an abundant number, since it is smaller than the sum of its proper divisors (463645056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229302144 is a wasteful number, since it uses less digits than its factorization.

229302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 229302144 is about 15142.7257784059. The cubic root of 229302144 is about 612.0722713575.

The spelling of 229302144 in words is "two hundred twenty-nine million, three hundred two thousand, one hundred forty-four".